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An extremely good, although slightly out of date, bibliography on
relevance logic was put together by Robert Wolff and is in Anderson,
Belnap, and Dunn (1992). What follows is a brief list of introductions
to and books about relevant logic and works that are referred to
above.

Anderson, A.R. and N.D. Belnap, Jr., 1975, Entailment: The Logic of Relevance and Necessity, Princeton, Princeton University Press, Volume I. Anderson, A.R. N.D. Belnap, Jr. and J.M. Dunn (1992) Entailment, Volume II. [These are both collections of slightly modified articles on relevance logic together with a lot of material unique to these volumes. Excellent work and still the standard books on the subject. But they are very technical and quite difficult.] (Scholar)

Brady, R.T., 2005, Universal Logic, Stanford: CSLI Publications, 2005. [A difficult, but extremely important book, which gives details of Brady's semantics and his proofs that naïve set theory and higher order logic based on his weak relevant logic are consistent.] (Scholar)

Dunn, J.M., 1986, “Relevance Logic and Entailment” in
F. Guenthner and D. Gabbay (eds.), Handbook of Philosophical
Logic, Volume 3, Dordrecht: Reidel, pp. 117–24. [Dunn has
rewritten this piece together with Greg Restall and the new version
has appeared in volume 6 of the new edition of the Handbook of
Philosophical Logic, Dordrecht: Kluwer, 2002,
pp. 1–128.] (Scholar)

Read, S., 1988, Relevant Logic, Oxford: Blackwell. [A very interesting and fun book. Idiosyncratic, but philosophically adept and excellent on the pre-history and early history of relevance logic.] (Scholar)

Routley, R., R.K. Meyer, V. Plumwood and R. Brady, 1983,
Relevant Logics and its Rivals (Volume I), Atascardero, CA:
Ridgeview. [A very useful book for formal results especially about the
semantics of relevance logics. The introduction and philosophical
remarks are full of “Richard Routleyisms”. They tend to be
Routley's views rather than the views of the other authors and are
fairly radical even for relevant logicians. Volume II updates Volume I
and includes other topics such as conditionals, quantification, and
decision procedures: R.Brady (ed.), Relevant Logics and their
Rivals (Volum II), Aldershot: Ashgate, 2003.] (Scholar)